论文标题
Nilpotent Lie群体的Rumin综合体
The Rumin complex on nilpotent Lie groups
论文作者
论文摘要
在本文中，介绍了Rumin Complex $（E_0^\ bullet，d_c）$的替代定义，该定义依赖于不同形式的重量概念。这样，可以在配备Carnot-Carthéodory度量的任何nilpotent Lie群体上建造umin综合体。此外，这种构建允许直接应用$ \ ell^{q，p} $同谋的先前不变结果，以接收肯定分级的所有nilpotent Lie群体。
In this paper an alternative definition of the Rumin complex $(E_0^\bullet,d_c)$ is presented, one that relies on a different concept of weights of forms. In this way, the Rumin complex can be constructed on any nilpotent Lie group equipped with a Carnot-Carathéodory metric. Moreover, this construction allows for the direct application of previous non-vanishing results of $\ell^{q,p}$ cohomology to all nilpotent Lie groups that admit a positive grading.
